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Finding the Fourth Proportional to 211,364,194.30, 316,542,406.65 and 211,364,194.30

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Solution

The fourth proportional to 211,364,194.30, 316,542,406.65 and 211,364,194.30 is: 316,542,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,364,194.30 : 316,542,406.65 = 211,364,194.30 : x
  2. Step 2: Convert to fraction form
    211,364,194.30/316,542,406.65 = 211,364,194.30/x
  3. Step 3: Cross multiply
    211,364,194.30x = 316,542,406.65 × 211,364,194.30
  4. Step 4: Simplify right side
    211,364,194.30x = 66,905,730,743,360,208
  5. Step 5: Solve for x
    x = 66,905,730,743,360,208/211,364,194.30
  6. Step 6: Final answer
    x = 316,542,406.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.